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8 December, 05:15

Carl and Lisa are renting moving trucks from same company. They pay a fee of x dollars just to rent the truck, and y dollars per mile they drive, Carl drives 150 miles and pays $215 Lisa drives 120 miles and pays $176 dollars. Find the amount of the original fee and cost per miles.

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  1. 8 December, 05:31
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    First you have to make equations for Carl and Lisa

    x + 150y = 215

    x + 120y = 176

    Now you can solve by substitution or elimination, I'm going to use elimination, so I'm going to multiply the bottom equation by negative one and solve

    x + 150y = 215

    -x - 120y = - 176

    30y = 39

    y = 1.3

    So it cost $1.30 per mile

    Now plug the number into one of the original equations to get x

    x + 150 (1.3) = 215

    x + 195 = 215

    x = 20

    So the fee for renting the truck is $20
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